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10441004431 = 1113193842843
BaseRepresentation
bin10011011100101010…
…10001010110001111
3222221122120222110211
421232111101112033
5132340344120211
64444014543251
7516511034104
oct115625212617
928848528424
1010441004431
114478747190
122034807b27
13ca5187840
1471095caab
15411970e21
hex26e55158f

10441004431 has 16 divisors (see below), whose sum is σ = 12911955840. Its totient is φ = 8300538720.

The previous prime is 10441004401. The next prime is 10441004447. The reversal of 10441004431 is 13440014401.

It is a cyclic number.

It is not a de Polignac number, because 10441004431 - 27 = 10441004303 is a prime.

It is a super-3 number, since 3×104410044313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441004401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1918705 + ... + 1924138.

It is an arithmetic number, because the mean of its divisors is an integer number (806997240).

Almost surely, 210441004431 is an apocalyptic number.

10441004431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10441004431 is a deficient number, since it is larger than the sum of its proper divisors (2470951409).

10441004431 is a wasteful number, since it uses less digits than its factorization.

10441004431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842886.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10441004431 its reverse (13440014401), we get a palindrome (23881018832).

The spelling of 10441004431 in words is "ten billion, four hundred forty-one million, four thousand, four hundred thirty-one".

Divisors: 1 11 13 19 143 209 247 2717 3842843 42271273 49956959 73014017 549526549 803154187 949182221 10441004431